How do you compare fractions?
Convert to a common denominator, compare decimals, or cross-multiply.
Comparing Fractions Calculator
Put two fractions side by side to learn which is larger—or if they are equal.
Enter two fractions
Fill in a/b and c/d to compare their values.
About this calculator
How to use Comparing Fractions Calculator, plus the formulas and logic behind the results.
Tool description
Compare fractions using cross-multiplication or decimals. The calculator reports the relationship and supporting values.
How to use
- Enter the first fraction a/b.
- Enter the second fraction c/d.
- Select Calculate to see which is larger.
- Review cross-products and decimals for confirmation.
Formulas & reference
Compare a×d vs b×cIf a×d > b×c then a/b > c/dIf equal, the fractions are equivalent
Comparison tips
- Cross-multiply to compare quickly
- Same denominator: larger numerator wins
- Same numerator: smaller denominator wins
- Decimals help when values are close
Calculation logic
Cross-products avoid floating-point surprises for integer fractions. Decimals are also shown for intuition.
Denominators must be non-zero. Signs are handled correctly for negative fractions.
Comparing Fractions Calculator FAQ
Common questions about this calculator and how to use the results.
What is cross-multiplication?
Compare a×d with b×c. The larger product belongs to the larger fraction.
What if the fractions are equal?
The calculator reports that they are equivalent.
Can I compare improper fractions?
Yes. Improper and proper fractions compare the same way.
Do negatives work?
Yes. Negative values are ordered correctly on the number line.
Why show decimals?
Decimals give a quick sense of size alongside the exact comparison.